Martha, Peter, and Kenneth have a total of $82 in their wallets. Martha has $10 more than Peter. Kenneth has 2 times what Martha has. How much do they have in their wallets?

Start by creating an equation that says Martha(m), Peter(p), and Kenneth(k) have $82 in total. m + p + k = 82 Next substitute in information so that you replace all but one variable. "Martha has $10 more than Peter" --> that means we can substitute m for p + 10. (p + 10) + p + k = 82 Then "Kenneth has 2 times what Martha has" --> k = 2 * m = 2 * (p+10) (p + 10) + p + 2 * (p + 10) = 82 p + 10 + p + 2p + 20 = 82 4p + 30 = 82 4p = 52 p = 13 Peter has $13 which means Martha has $23 ($13 + $10) and Kenneth has $46 (2 times Martha's, $23).

Asked by Tom Tennant · Last updated 5 years ago · 1.8K views · SOURCE